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Finding the Fourth Proportional to 1,452.80, 2,005.45 and 928.73

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Solution

The fourth proportional to 1,452.80, 2,005.45 and 928.73 is: 1,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.80 : 2,005.45 = 928.73 : x
  2. Step 2: Convert to fraction form
    1,452.80/2,005.45 = 928.73/x
  3. Step 3: Cross multiply
    1,452.80x = 2,005.45 × 928.73
  4. Step 4: Simplify right side
    1,452.80x = 1,862,521.58
  5. Step 5: Solve for x
    x = 1,862,521.58/1,452.80
  6. Step 6: Final answer
    x = 1,282.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.